作者LPH66 (かつて交わした约束)
看板puzzle
标题[中译] Puzzleup 2017 (14) Dice Game
时间Fri Nov 10 07:44:50 2017
题目网址:
http://www.puzzleup.com/2017/
http://www.puzzleup.com/2017/puzzle/?14
答题时限: 11月9日7PM-比赛结束(约12月27日)
加分时限: 11月9日7PM-11月14日6:59PM
答对可得基本分100分。答案可上传5次,每改1次答案从基本分扣20分。
比赛期间内可随时上传答案,加分时限内答对第n天加(6-n)分
另依题目的难易有额外加分(如有80%的人这题答错,答对者加80分)
◆DICE GAME
You will play a game of chance with your friend by throwing a dice repeatedly.
* Whenever 4 even numbers appear in a row, you will win.
* Whenever 4 odd numbers appear in a row, your friend will win.
* Whenever 5 even numbers appear (may not be in a row), your friend will win.
* If first and third condition occur at the same time, first condititon has
the priority.
What is your probability of winning the game?
(Enter your answer as a reduced fraction. Example: 123/4567)
你和你的朋友玩一个游戏, 重覆投掷一个骰子。
* 如果连续出现四个偶数, 你赢。
* 如果连续出现四个奇数, 你的朋友赢。
* 如果出现过五个偶数 (不一定连续), 你的朋友赢。
* 若第一和第三个条件同时满足, 第一个条件优先。
试问你赢的机率为何?
(以最简分数回答,如 123/4567。)
--
'You've sort of made up for it tonight,' said Harry. 'Getting the
sword. Finishing the Horcrux. Saving my life.'
'That makes me sound a lot cooler then I was,' Ron mumbled.
'Stuff like that always sounds cooler then it really was,' said
Harry. 'I've been trying to tell you that for years.'
-- Harry Potter and the Deathly Hollows, P.308
--
※ 发信站: 批踢踢实业坊(ptt.cc), 来自: 123.195.9.46
※ 文章网址: https://webptt.com/cn.aspx?n=bbs/puzzle/M.1510271096.A.45B.html
1F:→ newacc: 怎麽觉得这题直接穷举就好@@ 11/10 18:33
2F:→ ACGfans: 我也是用穷举 20场就够了 11/11 17:29
3F:推 cutekid: 11 场 is ok 11/11 20:54
4F:→ buffalobill: 我举了16场……疑? 11/11 21:22
5F:推 adrianshum: 要穷举20场吧。最坏的情况,要oooeoooeoooeoooeoooe 11/24 10:46
6F:→ adrianshum: 共20 场才能分胜负 11/24 10:46
7F:→ adrianshum: 我错了orz 11/24 12:00
8F:→ adrianshum: 的确是11 场 11/24 12:02